Abstract
The viscous and elastic properties of a two component medium are derived from a general 2 component Lagrangian formulation. For the case when one of the components is a fluid, there are 2 compressional waves, one of which (the slow wave) is diffusive at low frequencies and propagatory at high. Comparison is made against experiments on various porous fluid saturated systems. It is seen that the diffusive mode in polymer gels, 4th sound in HeII, the diffusion of a fluid pressure pulse through a porous medium, and the recent observation of a slow compressional propagatory wave in water saturated fused glass beads are special cases of this additional mode prediced by the theory.
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© 1982 Springer-Verlag
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Johnson, D.L. (1982). Elastodynamics of porous media. In: Burridge, R., Childress, S., Papanicolaou, G. (eds) Macroscopic Properties of Disordered Media. Lecture Notes in Physics, vol 154. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-11202-2_8
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DOI: https://doi.org/10.1007/3-540-11202-2_8
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